Wow, i just found this post. I do work for Commonwealth Respite in the northern districts, hills district and west here in Sydney, it's part of the Community Assist program.
I am paid directly by C'wealth Respite and charge normal commercial rates.
As for how you get into these sort of organisations, i think you need to know someone, that's what got me in. In terms of work, stuff all, i've only had about 5 one-off jobs this year.